What is 2/5 \div (3/5 \div 1/2) ?

The solution to 2/5 \div (3/5 \div 1/2) is 1/3

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2/5 \div (3/5 \div 1/2)

\frac{2}{5} \div (\frac{3}{5} \div \frac{1}{2})

\frac{1}{3}

Solution steps

\frac{2}{5} \div (\frac{3}{5} \div \frac{1}{2})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{3}{5} \div \frac{1}{2}) : \frac{6}{5}

\frac{3}{5} \div \frac{1}{2}

Multiply and divide (left to right)

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{3}{5} \cdot \frac{2}{1}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{3 \cdot 2}{5 \cdot 1}

Multiply the numbers:

3 \cdot 2 = 6

= \frac{6}{5 \cdot 1}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{6}{5}

= \frac{2}{5} \div \frac{6}{5}

Multiply and divide (left to right)

\frac{2}{5} \div \frac{6}{5} : \frac{1}{3}

\frac{2}{5} \div \frac{6}{5}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{2}{5} \cdot \frac{5}{6}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{2 \cdot 5}{5 \cdot 6}

Cancel the common factor:

5

= \frac{2}{6}

Cancel the common factor:

2

= \frac{1}{3}

= \frac{1}{3}

(7 - 7)^{2}

2 \frac{2}{3} + 5 \div 12

\frac{5 - ( - 2 ) - 3 + ( - 12 ) - ( 15 - ( - 7 ) )}{- 2}

\frac{3}{2} (\frac{11}{3} - \frac{2}{7})

14 + 18 \div 2 \cdot 18 - 7

What is 2/5 \div (3/5 \div 1/2) ?
The solution to 2/5 \div (3/5 \div 1/2) is 1/3